https://file.aiquickdraw.com/mathbot/file/1726678152398bd3pl6pv.jpg

To find the perimeter of the figure, we need to add together the lengths of all the sides visible in the diagram.

Given the side lengths:
- AB = 8 cm
- BC = 4 cm
- CD = 1 cm
- DE = 2 cm
- EF = 4 cm
- FG = 1 cm

The figure appears to be a composite of rectangles or possibly a single irregular shape, with segments named after points A through G.

To find the perimeter, we must also consider the segments we do not have direct lengths for, but these can be inferred:
- AG and EH, which should be equal to CD and FG respectively (since these segments are parallel and part of rectangles).
- BH, which should be equal to DE, as it is the opposite side of rectangle ABDE.

So, the segments are:
- AG = 1 cm (equal to CD)
- EH = 1 cm (equal to FG)
- BH = 2 cm (equal to DE)

Adding all these segments together gives the total perimeter:
\[ \text{Perimeter} = AB + BC + CD + DE + EF + FG + AG + EH + BH \]
\[ \text{Perimeter} = 8 + 4 + 1 + 2 + 4 + 1 + 1 + 1 + 2 = 24 \]

The perimeter of the figure is 24 cm.

Do you have any other questions or need further details on this solution? Here are some related questions you might consider:

1. What would be the area of this figure?
2. How can one determine the lengths of sides not given directly in similar problems?
3. What properties of rectangles were used to infer the missing side lengths?
4. How would adding another segment like a diagonal change the problem?
5. Can you find the perimeter if the figure was altered to have curved segments instead of straight lines?

**Tip:** When working on geometry problems involving complex figures, breaking the shape into simpler components like rectangles and triangles can simplify the computation of properties like perimeter and area.

In the following figure, AB = 8 cm, BC = 4 cm, CD = 1 cm, DE = 2 cm, EF = 4 cm, and FG = 1 cm. What is the perimeter of the figure?

Learn how to calculate the perimeter of an irregular polygon made up of rectangles. This problem includes key geometry concepts such as summing side lengths and applying properties of rectangles. Suitable for Grades 6-8.

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